COMPLETE WEIGHT ENUMERATOR OF TORSION CODES

被引：14

作者：

Meng, Xiangrui ^{[1
]}

Gao, Jian ^{[1
]}

机构：

[1] Shandong Univ Technol Zibo, Sch Math & Stat, Shandong 255000, Peoples R China

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2022年 / 16卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Complete weight enumerator; Torsion codes; authentication codes; LINEAR CODES; CONSTRUCTION;

D O I：

10.3934/amc.2020124

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we introduce two classes of MacDonald codes over the finite non-chain ring Fp + vFp + v2Fp and their torsion codes which are linear codes over Fp, where p is an odd prime and v3 = v. We give the complete weight enumerator of two classes of torsion codes. As an application, systematic authentication codes are obtained by these torsion codes.

引用

页码：571 / 596

页数：26

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